matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fqup.ma

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  14
  15 include "basic_2/rt_transition/rpx_fqup.ma".
  16 include "basic_2/rt_transition/fpb.ma".
  17
  18 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 (* Basic_2A1: was: fpbq_refl *)
  23 lemma fpb_refl: tri_reflexive … fpb.
  24 /2 width=5 by fpb_intro/ qed.
  25
  26 (* Basic_2A1: uses: fpbq_cpx *)
  27 lemma cpx_fpb (G) (L):
  28       ∀T1,T2. ❪G,L❫ ⊢ T1 ⬈ T2 → ❪G,L,T1❫ ≽ ❪G,L,T2❫.
  29 /2 width=5 by fpb_intro/ qed.
  30
  31 (* Basic_2A1: uses: fpbq_fquq *)
  32 lemma fquq_fpb (G1) (G2) (L1) (L2) (T1) (T2):
  33       ❪G1,L1,T1❫ ⬂⸮ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫.
  34 /2 width=5 by fpb_intro/ qed.
  35
  36 lemma fqu_fpb (G1) (G2) (L1) (L2) (T1) (T2):
  37       ❪G1,L1,T1❫ ⬂ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫.
  38 /3 width=5 by fquq_fpb, fqu_fquq/ qed.